Question

A 320 HZ tuning fork is resonating in a closed tube on a day when the speed of sound is 335 m/s. what is the length of the closed tube?
0.26 m
0.24 m
0.96 m
1.05 m

Answer 1

Answer: The length of the closed tube is 1.05 m

Explanation:

Wave speed is defined as the product of its wavelength and frequency.

Mathematically,

$\text{Wave speed}=\lambda\times \nu$

where,

$\lambda$ = length of the closed tube = ?

$\nu$ = frequency of the tuning fork = 320 Hz = $320s^{-1}$

Speed of the sound wave = 335 m/s

Putting values in above equation, we get:

$335m/s=\lambda\times 320s^{-1}\\\\\lambda=\frac{335m/s}{320s^{-1}}=1.05m$

Hence, the length of the closed tube is 1.05 m

Answer 2

v=fλ

λ= 335 m/s/320 Hz= 1.05 m